1.83/0.67 YES 2.05/0.71 2.05/0.71 2.05/0.71 2.05/0.71 2.05/0.71 The system was filtered by the following matrix interpretation 2.05/0.71 of type E_J with J = {1,...,2} and dimension 16: 2.05/0.71 2.05/0.71 0 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 \ / 2.05/0.71 1 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 \ / 2.05/0.71 2 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 \ / 2.05/0.71 3 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 \ / 2.05/0.71 4 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 \ / 2.05/0.71 5 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.05/0.71 \ / 2.05/0.71 2.05/0.71 Remains to prove termination of the 29-rule system 2.05/0.71 { 0 0 0 1 -> 2 2 1 , 2.05/0.71 0 1 1 3 -> 4 2 3 , 2.05/0.71 2 3 0 2 1 -> 2 2 1 2 1 , 2.05/0.71 3 0 0 1 4 -> 2 4 0 4 , 2.05/0.71 4 4 5 0 1 -> 3 0 0 2 , 2.05/0.71 5 0 5 1 1 -> 3 2 2 2 , 2.05/0.71 1 0 5 4 1 0 -> 0 5 3 0 0 , 2.05/0.71 1 1 5 2 3 2 -> 1 3 3 3 0 , 2.05/0.71 4 0 5 0 1 0 -> 4 0 0 0 3 , 2.05/0.71 2 2 5 5 1 5 2 -> 4 0 1 1 3 4 3 , 2.05/0.71 4 3 3 0 0 1 5 4 -> 4 3 2 1 1 5 3 4 , 2.05/0.71 0 1 4 3 4 1 4 0 0 1 -> 0 3 1 2 2 5 0 4 1 , 2.05/0.71 3 2 2 5 2 0 1 5 4 0 4 1 -> 3 4 1 4 3 1 1 0 4 1 3 1 , 2.05/0.71 4 1 5 2 2 2 3 5 3 0 1 4 -> 4 5 3 5 5 5 0 0 3 1 4 , 2.05/0.71 0 2 1 3 3 4 0 1 5 2 2 2 3 -> 0 3 4 2 4 2 0 5 4 2 2 3 , 2.05/0.71 2 0 5 4 3 2 2 3 3 2 5 1 2 -> 2 5 2 3 0 4 3 3 3 5 0 0 , 2.05/0.71 1 5 3 1 1 3 1 5 1 5 4 3 1 3 4 -> 2 3 5 2 2 1 4 1 2 5 4 3 4 , 2.05/0.71 5 0 5 0 3 3 0 2 5 0 2 1 4 4 0 -> 3 5 4 0 3 1 4 2 4 3 0 2 1 4 0 , 2.05/0.71 2 0 0 1 5 4 3 5 3 5 0 1 3 5 1 4 5 -> 4 0 4 3 4 1 3 3 5 3 3 1 4 1 4 5 , 2.05/0.71 4 1 3 4 0 2 3 3 4 0 1 3 2 1 3 5 5 -> 4 0 0 4 1 5 0 2 3 0 5 2 1 5 5 5 , 2.05/0.71 0 5 3 3 3 5 3 1 4 5 5 3 5 2 5 1 0 0 -> 3 5 1 0 1 5 5 0 4 2 5 2 5 5 3 5 0 , 2.05/0.71 5 4 2 0 5 1 3 2 0 2 1 4 2 2 1 3 1 0 -> 0 5 0 5 5 2 2 5 1 5 1 0 5 5 3 0 1 , 2.05/0.71 1 1 1 2 0 2 4 2 2 0 3 0 4 5 2 2 1 0 1 -> 3 5 3 0 4 5 0 3 5 3 2 4 1 1 3 1 1 5 4 , 2.05/0.71 5 5 0 1 3 2 5 3 4 1 4 1 1 2 5 4 1 5 5 -> 5 3 3 3 2 0 5 4 1 2 2 4 2 0 4 3 5 , 2.05/0.71 0 4 3 2 2 5 1 5 0 0 0 1 1 1 2 4 2 1 0 5 -> 0 4 0 2 2 5 0 0 1 5 3 4 5 2 5 0 5 3 3 , 2.05/0.71 4 2 1 2 2 3 3 3 5 1 2 4 4 1 5 1 3 2 1 0 -> 4 0 1 3 0 4 4 1 2 3 0 4 0 4 1 4 5 4 2 , 2.05/0.71 5 4 4 1 2 1 5 1 5 2 1 2 5 5 2 1 5 1 1 5 -> 4 2 0 3 2 5 1 1 5 5 1 2 4 4 0 1 3 4 5 , 2.05/0.71 2 5 1 1 5 1 2 4 5 0 1 2 3 3 1 5 5 3 2 3 4 -> 3 3 1 4 3 2 2 2 0 0 3 3 1 1 5 1 2 4 0 2 , 2.05/0.71 3 1 0 1 4 5 0 2 5 4 5 0 4 1 5 1 1 2 2 1 5 -> 4 1 2 3 3 4 1 5 0 1 5 4 1 2 3 4 0 0 0 5 } 2.05/0.71 2.05/0.71 2.05/0.71 The system was filtered by the following matrix interpretation 2.05/0.71 of type E_J with J = {1,...,2} and dimension 2: 2.05/0.71 2.05/0.71 0 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 1 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 1 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 1 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 2 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 1 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 3 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 1 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 4 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 1 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 5 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 1 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 2.05/0.71 Remains to prove termination of the 6-rule system 2.05/0.71 { 2 3 0 2 1 -> 2 2 1 2 1 , 2.05/0.71 2 2 5 5 1 5 2 -> 4 0 1 1 3 4 3 , 2.05/0.71 4 3 3 0 0 1 5 4 -> 4 3 2 1 1 5 3 4 , 2.05/0.71 3 2 2 5 2 0 1 5 4 0 4 1 -> 3 4 1 4 3 1 1 0 4 1 3 1 , 2.05/0.71 5 0 5 0 3 3 0 2 5 0 2 1 4 4 0 -> 3 5 4 0 3 1 4 2 4 3 0 2 1 4 0 , 2.05/0.71 1 1 1 2 0 2 4 2 2 0 3 0 4 5 2 2 1 0 1 -> 3 5 3 0 4 5 0 3 5 3 2 4 1 1 3 1 1 5 4 } 2.05/0.71 2.05/0.71 2.05/0.71 The system was filtered by the following matrix interpretation 2.05/0.71 of type E_J with J = {1,...,2} and dimension 2: 2.05/0.71 2.05/0.71 0 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 3 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 1 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 1 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 2 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 0 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 3 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 0 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 4 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 1 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 5 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 2 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 2.05/0.71 Remains to prove termination of the 2-rule system 2.05/0.71 { 2 2 5 5 1 5 2 -> 4 0 1 1 3 4 3 , 2.05/0.71 1 1 1 2 0 2 4 2 2 0 3 0 4 5 2 2 1 0 1 -> 3 5 3 0 4 5 0 3 5 3 2 4 1 1 3 1 1 5 4 } 2.05/0.71 2.05/0.71 2.05/0.71 The system was filtered by the following matrix interpretation 2.05/0.71 of type E_J with J = {1,...,2} and dimension 2: 2.05/0.71 2.05/0.71 0 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 0 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 1 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 0 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 2 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 1 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 3 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 0 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 4 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 0 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 5 is interpreted by 2.05/0.71 / \ 2.05/0.71 | 1 0 | 2.05/0.71 | 0 1 | 2.05/0.71 \ / 2.05/0.71 2.05/0.71 Remains to prove termination of the 0-rule system 2.05/0.71 { } 2.05/0.71 2.05/0.71 2.05/0.71 The system is trivially terminating. 2.05/0.75 EOF